A three-level CIP-VEM approach for the Oseen equation
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913727023939584 |
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| author | Trezzi, Manuel |
| author_facet | Trezzi, Manuel |
| contents | We study a pressure-robust virtual element method for the Oseen problem. In the advection-dominated case, the method is stabilized with a three level jump of the convective term. To analyze the method, we prove specific estimates for the virtual space of potentials. Finally, e prove stability of the proposed method in the advection-dominated limit and derive h-version error estimates for the velocity and the pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A three-level CIP-VEM approach for the Oseen equation Trezzi, Manuel Numerical Analysis We study a pressure-robust virtual element method for the Oseen problem. In the advection-dominated case, the method is stabilized with a three level jump of the convective term. To analyze the method, we prove specific estimates for the virtual space of potentials. Finally, e prove stability of the proposed method in the advection-dominated limit and derive h-version error estimates for the velocity and the pressure. |
| title | A three-level CIP-VEM approach for the Oseen equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.02721 |